![]() What if I use substitution and put ten in for each of these? Well, three times ten will be 30. And then we'd say to ourselves, does that make sense? Is that reasonable? Well, let's go back to our original equation. So we get X equals 130 divided by 13 is ten. To get that X all by itself, because remember 13 over 13 is one whole. I'm left with 13 X equals 162, take away 32. But once we start an operation, adding subtracting and multiplying or dividing on one side, you got to do it to the other. Now remember, if you do something on one side, you have to do it to the other. That's why I have to get rid of this plus 32. ![]() Next step, isolate the term with the variable. I only had to simplify the left hand side here, but we've definitely done both sides. You stay on one side of the equation at a time. Plus 32 can't be combined with anything on this side. Well, on the left hand side here, I have some like terms. Step two, simplify each side if possible by combining like terms. There's no more distributive property to follow. I'm just going to draw by line here, so I can make sure to stay balanced. Plus two times 5 X is ten X plus two times 16 is 32. I end up with three X, which just comes down. I don't have to worry about keep changing change or worry about negatives for right now. Since we have a positive two, because it's plus two. Example one, three X plus two times in parentheses, 5 X plus 16. I'm going to keep our steps there so we can follow it. So just take a look at your answer and be like, does that really make sense? Does it work? Okay? So let's do a couple of examples. And then I did say 5 steps because you should always check your answer, make sure it's reasonable. Again, with two step equations, our goal was to isolate the variable, which I got a final goal here. Now this should look very familiar because we did this for two step equations. Step three isolate the term with the variable. Simplified each side of if possible, meaning we combine like terms on each side of the equation. So if we have any distribution, we have to do that first. There are 5 steps to follow when solving a multi step equation. Our operations meaning addition subtraction multiplication and division. ![]() That's our goal to get our variable all by itself. ![]() So when we're solving multi step equations, we follow those same rules of isolating the variable. Now we're just adding a little bit to it. Now we've already done one step equations and we've already done two step equations. The choice of method depends on the specific equations and the desired solution.Today we're going to take our equations unit a little bit further and start solving multi step equations.
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